Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
210701	Solve the Inequality for x	2x+y<8	$2 x + y < 8$
210702	Find the Product	9x-7i>3(3x-7u)	$9 x - 7 i > 3 (3 x - 7 u)$
210703	Solve for a	1/8(4+a)=-1	$\frac{1}{8} (4 + a) = - 1$
210704	Simplify	i^111-2i^49-i^118-8i^26	$i^{111} - 2 i^{49} - i^{118} - 8 i^{26}$
210705	Find the Excluded Values	(4x)/(x^2+8x+12)	$\frac{4 x}{x^{2} + 8 x + 12}$
210706	Evaluate	-cot(pi/6)	$- \cot (\frac{π}{6})$
210707	Simplify the Radical Expression	(x^16y^8)^(3/8)	${(x^{16} y^{8})}^{\frac{3}{8}}$
210708	Simplify the Radical Expression	3b^(1/2)*b^(4/3)	$3 b^{\frac{1}{2}} \cdot b^{\frac{4}{3}}$
210709	Solve for a	12 = square root of a+108	$12 = \sqrt{a + 108}$
210710	Evaluate	log base x of x+6=2	$\log_{x} (x + 6) = 2$
210711	Graph	x+y+2>=0	$x + y + 2 \geq 0$
210712	Simplify	(3x^2y^2*4x^3y^3)÷(-2xy^4)	$(3 x^{2} y^{2} \cdot 4 x^{3} y^{3}) \div (- 2 x y^{4})$
210713	Write in Standard Form	y=(1+5x)^2	$y = {(1 + 5 x)}^{2}$
210714	Find the Roots (Zeros)	x^2+16=-12x	$x^{2} + 16 = - 12 x$
210715	Simplify	(a^5b)/(a^-2b)	$\frac{a^{5} b}{a^{- 2} b}$
210716	Solve for x	log base 25 of 4x+2- log base 25 of 2x-1=1/2	$\log_{25} (4 x + 2) - \log_{25} (2 x - 1) = \frac{1}{2}$
210717	Simplify	0.5y+10.5+6.5y-0.5-0.5y	$0.5 y + 10.5 + 6.5 y - 0.5 - 0.5 y$
210718	Find the Product	(3-2x+5x^2)(4-x+2x^2)	$(3 - 2 x + 5 x^{2}) (4 - x + 2 x^{2})$
210719	Solve the Rational Equation for x	x^(2/3)=25	$x^{\frac{2}{3}} = 25$
210720	Solve for x	0=2x^2-6	$0 = 2 x^{2} - 6$
210721	Solve for a	-4a+9=-2(4+5a)-7	$- 4 a + 9 = - 2 (4 + 5 a) - 7$
210722	Simplify the Radical Expression	square root of (3x^2)/(7x^3)	$\sqrt{\frac{3 x^{2}}{7 x^{3}}}$
210723	Simplify the Radical Expression	fifth root of 3^4* fifth root of 3^6	$\sqrt[5]{3^{4}} \cdot \sqrt[5]{3^{6}}$
210724	Solve for x	2 log of x+1/2 log of 9 = log of 3x+4+ log of x-2	$2 \log (x) + \frac{1}{2} \log (9) = \log (3 x + 4) + \log (x - 2)$
210725	Solve for x	f(x-1)=2^(x-5)	$f (x - 1) = 2^{x - 5}$
210726	Simplify	(7x+9)/(9x-7)*(9x)/(9x-7)	$\frac{7 x + 9}{9 x - 7} \cdot \frac{9 x}{9 x - 7}$
210727	Solve the Inequality for b	3+b/9<4	$3 + \frac{b}{9} < 4$
210728	Simplify	(4x^3+3x^2-6x)-(10x^3+3x^2)	$(4 x^{3} + 3 x^{2} - 6 x) - (10 x^{3} + 3 x^{2})$
210729	Simplify	(-(x^7)/(z^5))^2	${(- \frac{x^{7}}{z^{5}})}^{2}$
210730	Find the Exact Value	sin((7pi)/6)-sin(pi/3)	$\sin (\frac{7 π}{6}) - \sin (\frac{π}{3})$
210731	Simplify	(x^4y^-8z^-2)/(x^-1y^6z^-10)	$\frac{x^{4} y^{- 8} z^{- 2}}{x^{- 1} y^{6} z^{- 10}}$
210732	Solve for n	0=18+128n^2	$0 = 18 + 128 n^{2}$
210733	Simplify	2/24+1 7/5+1/6	$\frac{2}{24} + 1 \frac{7}{5} + \frac{1}{6}$
210734	Simplify	(-18v^3w)/(9v^3w^6)	$\frac{- 18 v^{3} w}{9 v^{3} w^{6}}$
210735	Solve for x	-8/x+5/7=4/(7x)	$\frac{- 8}{x} + \frac{5}{7} = \frac{4}{7 x}$
210736	Convert to a Decimal	-12pirad	$- 12 π$ radians
210737	Write the Fraction in Simplest Form	(2/5-(2/3+4/5)/(1+3/8))(-5 1/2+37/4)	$(\frac{2}{5} - \frac{\frac{2}{3} + \frac{4}{5}}{1 + \frac{3}{8}}) (- 5 \frac{1}{2} + \frac{37}{4})$
210738	Simplify	(c^-2)/(d^(-1/3))	$\frac{c^{- 2}}{d^{- \frac{1}{3}}}$
210739	Graph	-3x-(-4y)=-16	$- 3 x - (- 4 y) = - 16$
210740	Divide	(225x^5y^3)÷15xy	$225 x^{5} y^{3} \div 15 x y$
210741	Rationalize the Denominator	square root of square root of 16r^4g^4p^4	$\sqrt{\sqrt{16 r^{4} g^{4} p^{4}}}$
210742	Solve for f	3(2 1/4+f)=12 3/4	$3 (2 \frac{1}{4} + f) = 12 \frac{3}{4}$
210743	Simplify	square root of 15r^3* square root of 20r^2	$\sqrt{15 r^{3}} \cdot \sqrt{20 r^{2}}$
210744	Solve the Inequality for x	2x-y<3	$2 x - y < 3$
210745	Find the Exact Value	1^-10	$1^{- 10}$
210746	Solve for k	64^(1/k)=2	$64^{\frac{1}{k}} = 2$
210747	Simplify	i^36i^20i^40	$i^{36} \cdot i^{20} \cdot i^{40}$
210748	Simplify	(1- square root of 3)/( square root of 3)	$\frac{1 - \sqrt{3}}{\sqrt{3}}$
210749	Graph	y>5 y>=x	$y > 5$ $y \geq x$
210750	Evaluate	(-t/3)^2	${(- \frac{t}{3})}^{2}$
210751	Graph	f(x)=(x^3-16x)/(-4x^2+4x+24)	$f (x) = \frac{x^{3} - 16 x}{- 4 x^{2} + 4 x + 24}$
210752	Simplify	cube root of square root of x^3	$\sqrt[3]{\sqrt{x^{3}}}$
210753	Evaluate	5(4+(6-3)^2)-9	$5 (4 + {(6 - 3)}^{2}) - 9$
210754	Solve for x	(3x)/(x-2)-(2x+3)/(x+4)=2/(x+4)	$\frac{3 x}{x - 2} - \frac{2 x + 3}{x + 4} = \frac{2}{x + 4}$
210755	Subtract	(4xy-13x^2y+7)-(7x^2y^2+12xy^2-3x^2y+11)	$(4 x y - 13 x^{2} y + 7) - (7 x^{2} y^{2} + 12 x y^{2} - 3 x^{2} y + 11)$
210756	Simplify	(5m)/3+3/(3m+15)	$\frac{5 m}{3} + \frac{3}{3 m + 15}$
210757	Graph	x-y>=2 2x+y>-3	$x - y \geq 2$ $2 x + y > - 3$
210758	Solve for a	6/5=(3a+2)/(2a+3)	$\frac{6}{5} = \frac{3 a + 2}{2 a + 3}$
210759	Solve for f	265f+8=305	$265 f + 8 = 305$
210760	Evaluate the Function	F(-x)=(7x^2-1)/(x^2)	$F (- x) = \frac{7 x^{2} - 1}{x^{2}}$
210761	Evaluate	4-2pi+1/2	$4 - 2 π + \frac{1}{2}$
210762	Graph	x+y=1 3x+5y=15	$x + y = 1$ $3 x + 5 y = 15$
210763	Simplify	27x^2-5y^2+12y^2-14x^2	$27 x^{2} - 5 y^{2} + 12 y^{2} - 14 x^{2}$
210764	Solve the Inequality for g	10+g/-9>12	$10 + \frac{g}{- 9} > 12$
210765	Solve for y	x+y=7 x=4	$x + y = 7$ $x = 4$
210766	Solve for x	2x^2-28x=-98	$2 x^{2} - 28 x = - 98$
210767	Solve the Inequality for x	square root of 2x-14+4>12	$\sqrt{2 x - 14} + 4 > 12$
210768	Solve for x	1/(2x-10)=(2x)/(x-5)+1/2	$\frac{1}{2 x - 10} = \frac{2 x}{x - 5} + \frac{1}{2}$
210769	Simplify	4y(8y+24)^-1	$4 y {(8 y + 24)}^{- 1}$
210770	Simplify	(8-8i square root of 5)/(6+2i square root of 5)	$\frac{8 - 8 i \sqrt{5}}{6 + 2 i \sqrt{5}}$
210771	Convert to Interval Notation	-5<10c-1<74	$- 5 < 10 c - 1 < 74$
210772	Factor	20(x+6)^2-4(x+6)	$20 {(x + 6)}^{2} - 4 (x + 6)$
210773	Simplify	(csc(x)^2-1)/(csc(x)-1)	$\frac{\csc^{2} (x) - 1}{\csc (x) - 1}$
210774	Simplify	(-4x-16)/8	$\frac{- 4 x - 16}{8}$
210775	Simplify the Radical Expression	square root of 12-5 cube root of 8-7 square root of 20	$\sqrt{12} - 5 \sqrt[3]{8} - 7 \sqrt{20}$
210776	Simplify	fourth root of 10^2a^18	$\sqrt[4]{10^{2} a^{18}}$
210777	Solve the Rational Equation for x	square root of 2x=10	$\sqrt{2 x} = 10$
210778	Divide	(6 square root of 28)/(3 square root of 4)	$\frac{6 \sqrt{28}}{3 \sqrt{4}}$
210779	Determine if a Polynomial	4z^5-x^-4	$4 z^{5} - x^{- 4}$
210780	Solve for x	sec((2pi)/3+x)=2	$\sec (\frac{2 π}{3} + x) = 2$
210781	Solve the Inequality for x	-3(x+4)-2>=2x+6	$- 3 (x + 4) - 2 \geq 2 x + 6$
210782	Write the Fraction in Simplest Form	(16 square root of x^3)^(1/4)	${(16 \sqrt{x^{3}})}^{\frac{1}{4}}$
210783	Simplify the Radical Expression	cube root of 216/16	$\sqrt[3]{\frac{216}{16}}$
210784	Simplify	( square root of 15)/( square root of 9+6)	$\frac{\sqrt{15}}{\sqrt{9} + 6}$
210785	Convert to Radical Form	(2k^2)^(-2/7)	${(2 k^{2})}^{- \frac{2}{7}}$
210786	Solve for x	(2x-3)^3=-216	${(2 x - 3)}^{3} = - 216$
210787	Solve the Inequality for z	3/5z>3/4	$\frac{3}{5} z > \frac{3}{4}$
210788	Evaluate	2-(x^2+10xy+7y^2)/(x^2+4xy+4y^2)	$2 - \frac{x^{2} + 10 x y + 7 y^{2}}{x^{2} + 4 x y + 4 y^{2}}$
210789	Factor	(x+y)a+(x+y)b+(x+y)c	$(x + y) a + (x + y) b + (x + y) c$
210790	Find the Degree, Leading Term, and Leading Coefficient	-x^3+1/5	$- x^{3} + \frac{1}{5}$
210791	Graph	y<-6x-24 y<6x+6	$y < - 6 x - 24$ $y < 6 x + 6$
210792	Graph	x<4 y>1 y>=-x+1	$x < 4$ $y > 1$ $y \geq - x + 1$
210793	Write in Slope-Intercept Form	2x+y>=6	$2 x + y \geq 6$
210794	Write in Slope-Intercept Form	2x+y>4	$2 x + y > 4$
210795	Solve for x	natural log of x- natural log of 3x-3 = natural log of 4	$\ln (x) - \ln (3 x - 3) = \ln (4)$
210796	Find the Excluded Values	(x^2-5x+6)/(x^2-4)*(x^2+3x+2)/(x^2-2x-3)	$\frac{x^{2} - 5 x + 6}{x^{2} - 4} \cdot \frac{x^{2} + 3 x + 2}{x^{2} - 2 x - 3}$
210797	Convert to Radical Form	(5^(1/8)*5^(3/8))^3	${(5^{\frac{1}{8}} \cdot 5^{\frac{3}{8}})}^{3}$
210798	Solve for h	f(x)=a(x-h)^2+k	$f (x) = a {(x - h)}^{2} + k$
210799	Simplify the Radical Expression	eighth root of 16a^12b^4	$\sqrt[8]{16 a^{12} b^{4}}$
210800	Solve for x	2 fifth root of 5x+2-1=3	$2 \sqrt[5]{5 x + 2} - 1 = 3$